226420427520 has 720 divisors, whose sum is σ = 930729676800. Its totient is φ = 51484336128.

The previous prime is 226420427479. The next prime is 226420427531. The reversal of 226420427520 is 25724024622.

226420427520 is a `hidden beast` number, since 2 + 2 + 642 + 0 + 4 + 2 + 7 + 5 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 161843781 + ... + 161845179.

Almost surely, 2^226420427520 is an apocalyptic number.

226420427520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226420427520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465364838400).

226420427520 is an abundant number, since it is smaller than the sum of its proper divisors (704309249280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

226420427520 is a wasteful number, since it uses less digits than its factorization.

226420427520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 226420427520 in words is "two hundred twenty-six billion, four hundred twenty million, four hundred twenty-seven thousand, five hundred twenty".